Puzyrev V.

With application of numerical-analytical methods the problem of obtaining and the analysis of dispersion spectrums of normal electroelastic waves in anisotropic cylindrical piezoelectric waveguides with the complicated form of cross-section is investigated. Sections of considered circular cylindrical waveguides with hexagonal symmetry of electroelastic properties and axial polarization have the form of a circular sector with an any angular measure or the form of a circular segment. The variation by an angular measure of a sector or a sector cut in a circular section of a waveguide, and also a variation by parameters of a section in the form of a circular segment is considered as a method of obtaining dispersion spectrum of normal waves with various necessary properties. Change of geometry of section is used as a way for control of dispersion relations for waves of used type. Variants of the task of several types of boundary conditions on different regions of edge of a waveguide are considered. On these regions boundary conditions of the free surface, the fixed edge or covering of the edge by not extensible conducting membranes can be set. For various variants of the problem dispersion relations are received as equality to zero of functional determinants of the infinite order, or as a series of equality to zero of functional determinants of the finite order for various values of a circle wave number. The structure of full dispersion spectrum of elastic and electroelastic waves for several lowest values of the circle wave numbers is analyzed; results of the numerical analysis of the real, imaginary and complex branches of a full dispersion spectrum are dealt with; the basic qualitative and quantitative characteristics in structure and distribution of branches of the spectrum at a various angular measure of cut are characterized.